1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tasya [4]
2 years ago
7

4, 12, 16, 48, 64, 192,

Mathematics
1 answer:
Brut [27]2 years ago
8 0

Answer:

The next term in the series is 256

Step-by-step explanation:

Lets explain how to solve the problem

The series is:

4 , 12 , 16 , 48 , 64 , 192

If we subtract 12 - 4 = 8

If we subtract 16 - 12 = 4

The difference is not constant then it's <em>not an arithmetic series</em>

If we divide 12 by 4 the answer is 3

If we divide 16 by 12 the answer is 4/3

The ratio is not constant then it's <em>not a geometric series</em>

So lets look to the odd positions 1st , 3rd , 5th, they are:

4 , 16 , 64

16 ÷ 4 = 4

64 ÷ 16 = 4

<em>There is a constant ratio 4 between each 2 consecutive odd position</em>

<em>terms</em>

Lets look to the even positions 2nd , 4th , 6th, they are:

12 , 48 , 192

48 ÷ 12 = 4

192 ÷ 48 = 4

<em>There is a constant ratio 4 between each 2 consecutive even position</em>

<em>terms</em>

Now we can find any term is the series by <em>multiply the previous odd</em>

<em>position by 4 if the term in odd position</em> and <em>multiply the previous</em>

<em>even position by 4 if the term in even position</em>

The next term is in the 7th position, then the next term is:

The number in the 5th position × 4

∵ The number in the 5th position is 64

∴ The number in the 7th position = 64 × 4 = 256

* The next term in the series is 256

You might be interested in
Javier invests money in two accounts. He invests twice as much in an account paying 11% as he does in an account paying 3%. If h
77julia77 [94]
PRT+PRT=Total Interest

0.03x+0.11(2x)=104.5

0.25x=104.5
x=418

x+2x, 418+2(418)=1254

Total Investment=1254 dollars 


7 0
2 years ago
Does anyone know how to solve this
Fofino [41]
Here is the answer the app is called cymath btw

3 0
2 years ago
6. Find the total surface area of the cone in the figure. (Use
Artist 52 [7]

Answer:

hi

use pie r ( l + r )

Step-by-step explanation:

hipe this may help you

4 0
3 years ago
Can you please help me with this there is a pic on the top thx
Svetach [21]
It would be 1000 x 6 
 so the answer would be 6000.
hope this helped but plz help me out and put this answer as brainliest plz
6 0
3 years ago
Read 2 more answers
PLEASE HELP !!!!!!!!
Aloiza [94]
275 is the answer to the question
8 0
3 years ago
Other questions:
  • X + a =yb solve for y
    6·2 answers
  • Are the ratios proportional?<br> 2/7 and 6/21
    11·1 answer
  • The black line is the graph of y=x. Which of these equations could represent the blue line?
    13·2 answers
  • How to solve (8.76 x 109)(6.52 x 10-3)/13.27 x 105?
    12·1 answer
  • The soccer team has lost 3 out of 7 games so far this season.
    11·2 answers
  • Please help!posted picture of question
    10·1 answer
  • Steven eats 5 1/8 ounces of chocolate bar weighing a total of 15 5/8 ounces. How much of the chocolate bar is still left?
    10·1 answer
  • Ellen planted 1/5 of her entire garden on Friday, 2/15 of her garden on Saturday, and 3/10 of the garden on Sunday. What fractio
    10·1 answer
  • What is the value of x in the equation
    8·1 answer
  • What is the mean and median of the following data set
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!